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Finding the Third Proportional to 24,927.75 and 34,913.25

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Solution

The third proportional to 24,927.75 and 34,913.25 is: 48,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927.75 : 34,913.25 = 34,913.25 : x
  2. Step 2: Convert to fraction form
    24,927.75/34,913.25 = 34,913.25/x
  3. Step 3: Cross multiply
    24,927.75x = 34,913.25 × 34,913.25
  4. Step 4: Simplify right side
    24,927.75x = 1,218,935,025.56
  5. Step 5: Solve for x
    x = 1,218,935,025.56/24,927.75
  6. Step 6: Final answer
    x = 48,898.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.